Trigonometric Substitution

[@TheOrganicChemistryTutor]

Integration - Free Formula Sheet: bit.ly/3XCT6oz Full 1 Hour 10 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: www.bit.ly/3zuP2s0

[@mwilakellys5523]

awesome

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very helpful!

[@yousufzohair4342]

I cannot become A member.. It is something to do with my country.. What can I do to watch full videos?

[@Ismaelkauga]

I couldn't access the full 1 hour video

[@martial-kr9yc]

Hello sir,if you don't mind you can feel free to let us enjoy the full lesson just here . humbly

[@NASAFanboy]

Trig sub is one of the hardest integration techniques to learn and you explain it in such an easy to follow way.

[@citizencj3389]

It's actually the hardest to learn because you need full knowledge of trig identities, sohcahtoa, and even inverse trig functions to solve some of these.

[@cheekybum1513]

@@citizencj3389 bro exactly It's occured to me that I never learned or probably forgot all those identities

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Right.. its almost like the lecturers teach us in a difficult way in purpose and thus guy just tells us wassup without the bullshi*

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Just goes on to show that calculus is easy if you have the right teacher

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bro literally named himself organic chemistry teacher then started teaching whatever tf we need Trust me he is the best guy to learn

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Honestly, I hope you succeed in whatever things you do. I wish you many more blessings in your life. You mean so much to your students. I hope you freaking go viral and gain many supporters. I don't understand how celebrities could be going viral for doing the mundane things, but our educators can't even get the recognition they deserve, as they are the ones actually changing lives. You guys deserve an award for all your hard work. I guarantee you that your hard work and dedication don't go unnoticed. We see you grinding and hustling, so thank you from the bottom of my heart. You are literally an underrated genius. Thank you so much, even words can't express how grateful we are for you. You always pull through at the right time for us all. Don't ever stop posting! I don't think I will stop watching your videos even if I finish school, just for the sake of learning and sharpening my skills. Knowledge is power and you inspire so many of us to keep learning no matter what.

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@@Stickman_Productions we talking about maths

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How did you do it?

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Lucky you. I don’t think I can make it past calc 2

[@jonathancurren5214]

@@VergilPeterson yeah I am in Calc II at Ohio State, it’s terrible. I have a midterm this Friday and I’ve gotten a 45/100 and 49/100 on both my practice exams😐

[@restfulcube-notyet]

integration used to be so much simpler ... and then this came along

[@jonassal2676]

What the heck!?

[@khurshidbekkk2647]

I feel you man😢

[@MichealQuinm]

Calc II wasn’t the same after the trig sub dlc

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[@AV4Life]

Organic chemistry tutor, Professor Leonard, & NancyPi. The terrific trio for carrying STEM students.

[@jasonjackson4555]

I wish this channel had been around when I was in undergrad. I remember watching my professor explain this and wondering why this class was a requirement for Econ at UCLA. Now, many years later, I’m still waiting for a chance to show off my trig substitution skills. I’m getting my MBA in 2 weeks and I didn’t need it there either.

[@BaoBao-im4zv]

I am studying econ and i was asking myself why should i see this kind of math but here i am seeing, this won't help with anything in the future too.

[@karstenkunneman5219]

Did you use it in those last 2 weeks?

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@@karstenkunneman5219 Im dead

[@Psowi]

Maybe because you arent studying TEM

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@@Psowi exactly, you just proved why non STEM students shouldn't have to take calculus

[@pixelninja5766]

2:38 "now we gotta do some math" legendary

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Me: "...that's why I'm here."

[@Joseph973]

18:24 "What was I thinking?" ...Me after every math test

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"The hard part's over" Me: nope, the hard part beings😢

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This is what online math classes should be like

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Aqq

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Ikr

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bro even in your real class they teach in similar way, We just dont pay attention in our real classes.

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@@freebird1685 true

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For all you people struggling through Calc 2 right now, just keep at it and take comfort in the fact that Calc 3 and Differential Equations won’t be nearly as bad. I’m in D.E right now and it’s actually kind of fun!

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fr?

[@johnlouiederayunan7851]

thanks. barely at the edge rn

[@cheekybum1513]

that's exactly what I heard at my school. People say Calc 2 is the hardest calc class

[@tek1645]

Unfortunately I only need calc 1 and 2

[@GIGATHEBOT]

oh boy, but than i got continuous time systems after that.

[@nathankraft6102]

I watched an hour long lecture from my professor and did not understand this but watched 2 minutes of your video and I already understand it better. Thank you for your service to confused college students.

[@Mattletic]

That's exactly what I was saying. I just spent 75 minutes in class, and understand the subject more in the first two minutes of this video, then my teacher has taught me in the whole chapter

[@nuridaw9586]

The last time I learned Calculus was almost 20 years ago, and this year I need to tutor Calculus. Your videos really really helped me. You are really gifted with being able to explain complex things in simple ways. THANK YOU.

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This might be a stupid question but do you remember anything from 20 years ago?

[@nuridaw9586]

@@josuequintero-td5gh Yes, generally I do. But if you are asking whether I remember what I learned about Calculus 20 years ago, yes I remember the basics.

[@calebnguyen7348]

I watched this video an hour before my test in desperate need of help since I did not understand it. I saw a question and I got it right because of you. Thank you so much!

[@aidenx3vv]

When it comes to finding the missing side of the right triangle, it's worth noting that it always turns out to be the square root from the original integral that made us need to do a trig sub in the first place

[@georgesadler7830]

Please watch Professor V, Integral of the Day Playlist for more on Techniques of Integration in Calculus. Pattern recognition is also needed for Trig Substitution.

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The absolute greatest person to ever exist. This one has single handedly raised every calculus and chemistry pass rate across the globe. We all love you.

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i might be cooked ngl

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Same

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I’m 100% cooked . Marinated, baked, sauteed and fried . Seasoned even

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@@bungle5899me… my test tomorrow

[@Symmz]

Exam today. Im heavily cooked

[@bungle5899]

@symmz wait I also had this exam today , i think I at least got a 50 😎

[@PunmasterSTP]

I tutor calculus students and yesterday I realized I was rusty on trig substitution. This video was just what I needed; thanks for sharing!

[@kaevindixon77]

Love this guy but at 3:30 he dropped the square of sin in the denominator of the integral. Just for people that are trying to follow along

[@MD-cy7lb]

He corrected that in 4.12 mintes

[@yuunaa7827]

@@MD-cy7lb but why does the numerator still 4(1-sin^2theta), shouldn't it be 4(1-sin theta) only because 2^2 is already 4?

[@Allahu_Akbar_the_one]

damn-can't get away without knowing my Trig anymore. Looks like I have to do a whole relearning!

[@generalmalaise2930]

yep exactly. ive been alright with my surface-ish recall of trig until this lesson lmao

[@Amaru1111]

​@@generalmalaise2930haha wait until you need to know reduction formulas and power reducing rules

[@donpowers8726]

This is great video. The presenter goes along very well and does not edit out the few small oopps that we all do when solving equations. Well done . Thanks

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🏃🏻‍♀️5 hours till my exam, i am grateful that u uploaded this today , thankkkk uuu

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this channel has single handedly saved my grade in math so many times

[@lyndseystrait1513]

1:12 Full list of trig formats & associated x=a formulas. Problem 1 (1:18-8:45); Problem 2 (9:02-19:24)

[@eri4232]

I’m so thankful you made a video on this, I went crazy trying to understand this when the textbook just put it with no explanations

[@elliewolcott6254]

Revisiting this for calc 3. Thanks so much for your videos! They help A TON.

[@ateezstanhell]

lmao you are my savior istg i have a test on thursday and im PANICKING bc i completely zoned out these past few weeks i needed a solid lesson on how to do these thank you

[@jbjc3924]

at 4:35 when you have cos^2 / sin^2, seems more intuitive to see that as cot^2 rather than 1-sin^2 / sin^2

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This just makes me realize how bad my prof actually is. We have been blessed with your existence. Tysm!

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This chapter right here, is the core difficulty of all embodiment of Calculus holy shit

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This came out at the right time, I have an exam about this tomorrow, thanks

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I am going to achieve...above average because of you

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This is by all means the hardest shit I have ever studied it!

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Best revision channel ngl

[@preston7246]

it is 8 pm I have a calc 2 final tomorrow morning and I'm just now trying to finally learn trig subs.

[@matthewhrndz]

how'd you do?

[@preston7246]

@@matthewhrndz I got a 151/200 on the final and passed the class with a 76

[@matthewhrndz]

@@preston7246 aye let's gooo, i have my calc 2 final next wednesday

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@@matthewhrndz nice nice good luck on it man

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I lowkey have been watching these even when im not even in math anymore so that i can keep my math skills

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very clear lecture thank you u are amazing keep working the organic chemistry

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This helped me so much with my Cal2 homework! Keep it up man!

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When you said "now its time to do some math", that's when i realised it was over for me

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You are the best teacher I ever had. Thank you for everything you do. Making it look so easy is probably the hardest part, but it makes all the difference. Screw kahn academy.

[@CrazyMarkStudios]

7:23 Timestamp

[@Loogia]

Never took a trig class before, so y'all already know I'm having a great time in calculus 😂

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i just like listening to your voice honestly

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Thankyou so much ! 💜 Its exactly what i need

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Helpful content as such shouldn't be locked behind a paywall.

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for another excellent video/lecture on Trigonometric Substitution in Calculus Two. All students/nonstudents should have a solid understanding of Trigonometry before studying Trig Substitution.. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@xXRedTheDragonXx]

Thank you for this video! I can't understand what my calculus professor is talking about sometimes and your videos really help!!

[@hisuii]

god bless bro i got a calculus exam in 8 hours this just saved my ass

[@utilizator1701]

8:03 whoa! Much simpler method to determin tan(arcsin(x/2)), cos(arcsin(x/2)) etc. Until now I have used trigonometric relations and calculus to determin those functions.

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Bruh I was confused about this and now you uploadef this🥺

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Thank you Teacher,you made it so easier...

[@Rahmanyboss]

2:37 was my favorite part 👌

[@olly.speaks]

3:05 I'm confused about where the "1 - sin^2 0" came from after "removing a 4". I assume it's by getting the square root of 4, which is 2 and would be put outside of the radical sign, but doesn't that instead come from "sin^2 0 + cos^2 0 = 1" trig identity? The present cosine is off to the side of the fraction. It's like it replaced " - 4 sin^2 0"

[@MM-wv4ez]

If I’m understanding your question correctly, he took out the 4 because it is a common factor in the two variables (basically he factorised) to get 4(1-sin^2theta). Then he used the trig identity you mentioned (just rearranged making cos^2theta the subject of the equation).

[@yuunaa7827]

@@MM-wv4ez I have a question too and hoping for someone to answer, why does the numerator still 4(1-sin^2theta), shouldn't it be 4(1-sin theta) only because 2^2 is already 4?

[@SpaghettiRuin]

The 4 comes out as root(4), which is 2. Under the sqrt is 1-sin squared, which is the identity for cos squared

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You are the reason I am understanding calc, bless you

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You are a lord and savior I was stuck on this

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please do a video on gamma and beta functions too i love your channel

[@Athfan]

Hi, at the timestamp of 3:32 , did u make a mistake writing 2sinQ instead of 2sin^2 Q , or is that correct?

[@Athfan]

nvm, I just proceeded it and u corrected it, thanks, my bad

[@pangolinbinary8074]

1:55 where did dθ come from? (I understand that something has to go there, but I not quite understand the meaning of dθ in this context)

[@breadmster]

You can understand this by d(sin x)/dx = cos x You take the dx to the other side of the equation That becomes d(sin x) = cos x dx Hope that helps :)

[@Aetherakabane]

He is doing implicati differentiation there

[@Aetherakabane]

​@breadmsterlol its 1 year old comment

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I have not met a professor who you have not routinely outclassed

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For the last one, why can’t you do 9sec^3(arctan(x/3)) - 27sec(arctan(x/3)) + C?

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my test is in an hour thank you so so much!!!

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This guy u turn mathematics to water ...why are u this good and also in teaching

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You are our life saviour !

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Thank you very much man. It helps me a lot.

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Tried the Third problem at the end, solved it, ty!

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the god tier tutor of the internet

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31 minutes till my final and I am still binge watching this

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Thanks for this amazing video! Regards from Mexico!

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Better than my professor!

[@EvanKneer]

at 3:44 did he change a sin^2 to just a sin in the denominator or am i missing something

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Thank you so much for the explanation!! 🥰🥰

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you are so great its unfortunate that i can't find the "join" option on your channel :( i really wanna have access to your full vids

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Thank you for this lesson organic chem!

[@robiriggin1112]

I made a 94 on shell and washer method because of this man. I hope I can do the same with trig sub and integration by parts

[@clearflow7925]

how'd you do?

[@RobertoGomez-e7b]

Awesome video but in the last example isnt it supposed to be 1/3sqrt(9+x^2)(-x^2-18) + C? Im just wondering because the - on the x int the x^2-18 part was lost

[@lglb]

Yes, I caught that too. The sign of that last x² should be negative - his missed it in the last step. Then, I (and likely he) would have pulled the negatives all the way back out front, leaving the answer as: -sqrt(x²+9)*(x²+18)/3 +c

[@assaineindustries]

Thanks professor JG

[@giuseppemalaguti435]

posto x=2sint...ho -ctgarcsin(x/2)-arcsin(x/2)....-sqrt(4-x^2)/x-arcsin(x/2)

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love ur videos man thanks very much my whole confusion is gone

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When a 20 minute video teaches you more then a week of class

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Happy teacher's day JG🎉🎉🎉

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Can you do a video for crystal systems pleaseee😭😭😭 Thanks for every one of your video btw, they help a lot!

[@NaftaliSpodek]

It's important to make sure in every step That the domains are reasonable In the substitution For example The square root of sec²( theta) Has to be positive So we need to make sure in the substitution To make the restrictions positive

[@economicallyshort5184]

3:31 where did the sin^2theta go in the denominator after you canceled 2 and 4 out? I only see sintheta now

[@freedomdive1881]

that was his mistake. He corrected it on 4:10

[@WarriorBane]

13:13 one of the rare times I see a mistake in his videos, dang

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I with integration by parts am able to calculate it in my mind a lot faster than 20 minutes

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You’re a life saver

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Thanks😊